Math
Quadratic Equation Solver
Enter coefficients a, b, and c to solve ax² + bx + c = 0. Shows discriminant and all roots including complex solutions.
Solve ax² + bx + c = 0
Discriminant (Δ) = 1
x₁ = 3
x₂ = 2
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Frequently Asked Questions
Quick answers to common questions
What is the quadratic formula?+
x = (−b ± √(b² − 4ac)) / 2a. The expression b² − 4ac is called the discriminant (Δ).
What does the discriminant tell us?+
If Δ > 0, two real roots. If Δ = 0, one repeated real root. If Δ < 0, two complex conjugate roots.
What if a = 0?+
If a is zero, the equation is linear (not quadratic) and this solver will ask you to enter a non-zero value for a.
Are complex roots shown?+
Yes. When the discriminant is negative, roots are displayed in a + bi form.